TBA, NLO Lüscher correction, and double wrapping in twisted AdS/CFT

Changrim Ahn, Zoltan Bajnok, Diego Bombardelli, Rafael I. Nepomechie

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The ground-state energy of integrably-twisted theories is analyzed in finite volume. We derive the leading and next-to-leading order (NLO) Lüscher-type corrections for large volumes of the vacuum energy for integrable theories with twisted boundary conditions and twisted S-matrix. We then derive the twisted thermodynamic Bethe ansatz (TBA) equations to describe exactly the ground state, from which we obtain an untwisted Y-system. The two approaches are compared by expanding the TBA equations to NLO, and exact agreement is found. We give explicit results for the O(4) model and for the γ-deformed (non-supersymmetric) planar AdS/CFT model, where the groundstate energy can be nontrivial and can acquire finite-size corrections. The NLO corrections, which correspond to double-wrapping diagrams, are explicitly evaluated for the latter model at six loops.

Original languageEnglish
Article number059
JournalJournal of High Energy Physics
Issue number12
StatePublished - 2011


  • AdS-CFT correspondence
  • Exact S-Matrix
  • Integrable Field Theories


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